answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Zinaida [17]
2 years ago
12

Suppose that your boss must choose three employees in your office to attend a conference in Jamaica. Because all 17 of you want

to go, he decides that the only fair way is to draw names out of a hat. What is the probability that you, Anna, and Kevin are chosen? Enter a fraction or round your answer to 4 decimal places, if necessary.
Mathematics
1 answer:
Pani-rosa [81]2 years ago
5 0

Answer:

P(You\ n\ Anna\ n\ Kevin) = \frac{1}{4913}

Step-by-step explanation:

Given

Total\ Employees = 17

To\ Select = 3

Required

Determine the probability of selecting You, Anna and Kevin

Assuming the selection process is fair;

Each employee has a probability of;

Probability = \frac{1}{17}

So:

P(You\ n\ Anna\ n\ Kevin) = P(You) * P(Anna) * P(Kevin)

P(You\ n\ Anna\ n\ Kevin) = \frac{1}{17} * \frac{1}{17} * \frac{1}{17}

P(You\ n\ Anna\ n\ Kevin) = \frac{1}{4913}

You might be interested in
a driver travels 2 hours at 60 miles per hour ,during which her car gets 30 miles per gallon of gasoline.she is paid $0.50 per m
Sever21 [200]

Answer:

Her net rate of pay in dollars per hour after the expense = $26

Step-by-step explanation:

Given:

Driver travels for 2 hours.

Speed = 60 miles per hour

Her  car runs at the rate of 30 miles per gallon of gasoline.

She is paid $0.50 per mile.

Expenses is price of gasoline at the rate of $2.00 per gallon.

To find her net rate of pay in dollars  per hour.

Solution:

In one hour the driver travels = 60 miles

For each mile she is paid = $0.50

<em>So, for 60 miles she will be paid = </em>60\times \$0.50 = \$30<em />

<em />

In a gallon of gasoline the car travels = 30 miles

<em>So, to travel 60 miles, the car would require = </em>\frac{60}{30}= 2<em> gallons of gasoline</em>

1 gallon of gasoline cost = $2.00

<em>Expenses for 2 gallons of gasoline = </em>2\times \$2.00=\$4<em />

<em />

So, in one hour she gets paid =$30 and her expenses for an hour drive = $4.

Thus, her net rate of pay in dollars per hour after the expense = \$30-\$4=\$26

8 0
2 years ago
Suppose that the universal set is U={1,2,3,4,5,6,7,8,9,10}. Express each of the following subsets with bit strings (of length 10
Vladimir [108]

Answer:

0011100000

1010010001

0111001110

Step-by-step explanation:

As the question is not complete, Here is the complete question.

Suppose that the universal set is U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Express each of these sets with bit strings where the ith bit in the string is 1 if i is in the set and 0 otherwise.

a) {3, 4, 5}

b) {1, 3, 6, 10}

c) {2, 3, 4, 7, 8, 9}.

So, we need to express a) b) and c) into bit strings.

Firstly, number of elements in the universal set represent the number of bits in the bit string.

Secondly, 1 = yes element is present in both universal set as well as in sub set.

0 = No, element is not present in sub set but present in universal set.

Hence, we have:

a) Sub set {3,4,5} = 0011100000  (As there are 3 1's which means only 3,4,5 are present in both universal set and subset.

Similarly,

b) Sub set {1, 3, 6, 10} = 1010010001

c) Sub set {2, 3, 4, 7, 8, 9} = 0111001110

5 0
2 years ago
Lila collected the honey from 3 of her beehives.from the first hive she collected 2/3 gallon of honey.the last two hives yielded
Jobisdone [24]
11/12 of a gallon, you have to find the common denominator.

5 0
2 years ago
Bethany uses the equation d=3.75h to find the distance, d, she travels while walking for h number of hours. what is the constant
Kazeer [188]

Answer: 35

Step-by-step explanation:

6 0
2 years ago
If a linear system has four equations and seven variables, then it must have infinitely many solutions. True or False
Savatey [412]

Answer:

The statement is False.

Step-by-step explanation:

Consider the provided information.

If a linear system has four equations and seven variables, then it must have infinitely many solutions.

We need to determine the above statement is true or false.

The above statement is false, it could be inconsistent, and therefore have no solutions,

For example:

x_1+x_2+x_3+x_4 +x_5+x_6+x_7=0\\x_1+x_2+x_3 =1\\x_4 +x_5 =1\\x_6+ x_7=1

Hence, there is no solution.

7 0
2 years ago
Other questions:
  • A goat is tethered by a 6 metre rope to the outside corner of a shed measuring 4 metres by 5 metres in a grassy field. What area
    13·1 answer
  • An Native American tepee is a conical tent. Find the number of cubic feet of air in a teepee 10 ft. in diameter and 12 ft. high.
    13·2 answers
  • The maclaurin series expansion for sin(x) is: sin(x)=x−x33!+x55!−x77!+x99!−.... starting with simplest version sin(x)=x, add ter
    13·1 answer
  • If t represent the number of tickets purchased for a baseball game, which scenario is modeled by the equation, 32.50t + 5 = 28.7
    11·2 answers
  • Enzo and Beatriz are playing games at their local arcade. Incredibly, Enzo wins 555 tickets from every game, and Beatriz wins 11
    7·2 answers
  • The element Unobtainium has a half-life of 3 years. Let M(t) be the mass of Unobtainium at time t starting with an initial amoun
    6·1 answer
  • Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
    13·1 answer
  • Suppose that a random sample of adult males has a sample mean heart mass of x¯=310.1 grams, with a sample standard deviation of
    9·1 answer
  • You work in a machine design department and need to specify the diameter of a pin that slides back and forth through a hole. The
    13·1 answer
  • The production cost for g graphing calculators is C(g) = 15g. Graph the function and then evaluate it when g = 15. What does the
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!